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Popular >

derivative of-1/(x^2-2/(x^3))

Solution

\frac{d}{d x} (- \frac{1}{x ^{2}} - \frac{2}{x ^{3}})

Solution

\frac{2}{x ^{3}} + \frac{6}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{1}{x ^{2}} - \frac{2}{x ^{3}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (\frac{1}{x ^{2}}) - \frac{d}{d x} (\frac{2}{x ^{3}})

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= - (- \frac{2}{x ^{3}}) - (- \frac{6}{x ^{4}})

Simplify

= \frac{2}{x ^{3}} + \frac{6}{x ^{4}}

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Frequently Asked Questions (FAQ)

What is the derivative of-1/(x^2-2/(x^3)) ?
The derivative of-1/(x^2-2/(x^3)) is 2/(x^3)+6/(x^4)
What is the first derivative of-1/(x^2-2/(x^3)) ?
The first derivative of-1/(x^2-2/(x^3)) is 2/(x^3)+6/(x^4)